Is the point (2, -3) on the line y = 2x - 3?
AYes, since y = 2(2) - 3 equals -3
BNo, since y = 2(2) - 3 equals -1, not -3
CNo, since y = 2(2) - 3 equals 1, not -3
DYes, since y = 2(-3) - 3 equals -3
Answer & Solution
Correct answer: C. No, since y = 2(2) - 3 equals 1, not -3
1. Substitute x = 2 into y = 2x - 3.
2. Compute 2 times 2, which is 4, so y equals 4 minus 3.
3. Simplify: 4 minus 3 equals 1, not -3.
4. Since the equation gives y = 1 when x = 2, the point (2, -3) is not a solution and is not on the line.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 4 "Graphs", section 4.2 Graph Linear Equations in Two Variables_
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